The multiple expansion of deposits, better known as the deposit multiplier, is how banks make money out of thin air (really though). When you put $100 in your checking account in the U.S., legally the bank has to keep 10% of it on hand, which is the “required reserve ratio.” The other 90% the bank can lend out to other customers (excess reserves) via student loans, a mortgage, a car loan, or a business loan. In this case, that’s $90 your bank can lend out to someone else.
Here’s the magic part: so...you have your $100 deposited in your bank. But your bank also just took $90 of that money and lent it out to someone else, who now has $90 in their pocket. Boom: $190 exists from $100.
What if that person with the $90 in their pocket put it in their bank account? Well, the bank would keep 10% of it, and lend out the other 90%, just like they did with you, creating another boom of new money in someone else’s pocket. And we can keep going down this bada-boom rabbit hole until we can’t go any farther. This is what the central bank tries to estimate and control via monetary policy. Tricky tricky.
We can calculate how much money can be made from that initial $90 (that was lent out from your $100) by using the multiple expansion of deposits, which is always 1-over-the required reserve ratio (for the U.S., that’s 10). So $90 x 10 = $900.
Make sure you don’t get the multiple expansion of deposits confused with the money multiplier, which is similar, but a different thing. The multiple expansion of deposits tells us the maximum possible amount of money that could be created from a given amount of money. The money multiplier is always smaller than the multiple expansion of deposits, which estimates the actual change in a country’s money supply.
Related or Semi-related Video
Econ: What are Reserve Requirements, Exc...19 Views
And finance Allah shmoop What our reserve requirements excess reserves
and the multiple expansion of deposits in the US The
Fed a k a The Federal Reserve a k a
The central bank keeps a watchful eye on reserve banks
who keep a watchful eye on commercial banks So yes
there's a whole hierarchy If the Fed is like a
royal family well then reserve banks or dukes and duchesses
and the commercial banks are aristocrats The Fed requires banks
to meet reserve requirements also known as the cash reserve
ratio which is the amount of money banks have to
keep on hand Handy Dandy Ready for quick withdrawal Why
is this a rule Well part of what spawned the
Fed into existence in the first place was a siri's
of runs on banks from banking panics A run on
the bank is when everyone rushes to their bank and
demands all of their deposits back Now the thing is
one of the boys banks make money is by lending
out your money to other people Yep your money Your
deposit for banks to make the most money possible Well
they would lend out as much money as they could
which in theory would be all of it But then
that leaves you the deposit or without cash when you
need it The Fed wanted runs on banks to be
a thing of the past which they pretty much are
now so they made these reserve requirements The money that
banks are allowed to loan out are called the excess
reserve For instance a bank may be required to have
say ten percent of its total money on hand which
would mean the remaining ninety per cent of the money
is excess reserves which banks can lend out to turn
a profit Now here's where the magic happens Multiple expansion
of deposit Well multiple expansion of deposits is the theory
that each deposit into a bank creates additional money made
from excess reserve deposit as they are well continuously lent
out by banks and then re deposited in other banks
There's a literal multiplier effect that ripples outward into the
economy called the Deposit Expansion Multi a buyer which estimates
the maximum amount of money that the Fed could expect
in deposit injection into the economic system that you know
they were kind of creating and managing Well this is
how the Fed the controller of the money supply decides
how much new money toe pump into the economy and
the maximum effect they could possibly expect from that injection
of money into the system For instance let's say your
bank has a ten percent reserve requirement leaving ninety percent
in excess reserves Well when that money is lent out
whether to a consumer or a business it's deposited into
another bank eventually So let's say you deposited two thousand
dollars check into your bank account in your bank says
would be and it lends out ninety percent of it
which is eighteen hundred box right that other two hundred
dollars they were going to keep on hand for reserve
requirements Okay so let's say that eighteen hundred dollars is
linked to a climber Chris who's keen on climbing Mount
Everest climber Chris deposits that eighteen hundred dollars into his
bank account Clymer Chris's bank says would be just like
your bank and they do the same thing that bank
lens Ninety percent of the eighteen hundred dollars which is
sixteen hundred twenty bucks The remaining ten percent that hundred
eighty is kept at Climber Chris's Bank to meet reserve
requirements Well Climate Chris Bank then lends out six hundred
twenty dollars to teacher Tina who's running short on school
supplies and gas Teacher Tina What's that Sixteen twenty into
her bank account And you can guess what teacher Tina's
bank account does Yep same is your bank and same
as Climber Chris's bank and teacher Tina's bank lends out
ninety percent of the money she deposit which is a
fourteen hundred forty eight dollars to Dan the Man and
so on Under this system and initial deposit actually grows
providing more value than the initial amount deposited Its multiplied
each time money is loaned out and then re deposited
only ninety percent That deposit gets turned into a new
loan Well we could keep taking ninety percent of the
deposits The maximum amount thanks can loan out from that
deposit until the amount loaned out deposited gets just any
words No more counting anymore So you still have that
two thousand dollars in your bank account that belongs to
you Meanwhile climate Chris has eighteen hundred and you can
spend a teacher Tina has sixteen twenty that she can
spend and it all came from your initial deposit Thank
you very much Well how Khun to Grand that was
in your bank account multiply into additional value that other
people can use in the economy But we told you
that multiple expansions of deposits was magic It literally expands
the money supply Will remember that deposit expansion multiplier we
mentioned earlier It's how the Fed can measure the maximum
amount of money and initial injection of a deposit like
your two grand can be expected to create Will the
deposit expansion multipliers just calculated as one divided by the
reserve requirements sonar case That's one By the by point
one or ten we can use the deposit expansion multiplier
to see how much money you're too grand Deposit expanded
the money supply under this setting to figure out how
much a deposit expanding the money supply We just multiply
the expansion multiplier by the initial excess reserves On our
scenario the reserve requirements ten percent which gives a deposit
expansion multiplier of ten Then we take that excess reserves
from the initial deposit You know that ninety percent chunk
of money that was created into the first loan for
climate Chris by your bank and I was eighteen hundred
bucks right So you're going to multiply that eighteen hundred
by ten So ninety percent ofyour deposit was loaned out
on deposit to Climate Chris and I sounded out blown
out positive Tina and I pretended I was loaned out
and positive Dan the Man and so on So if
we assume the bank's loaned out ninety percent of stage
while then it means the money supply was expanded by
eighteen thousand dollars That means assuming a reserve requirement of
ten percent for all commercial banks while your initial deposit
of two grand expanded the money supply nine times to
be eighteen thousand dollars in the economy Yes you Khun
tell everyone you're welcome Okay So besides feeling likea money
expansion superhero why do we care about multiple expansion of
deposits Well the Fed is in charge of keeping the
economy healthy One major way of doing that is by
maintaining the money supply you can think about That is
a doctor and the economy is a patient with the
money Supply is well the blood pressure A low blood
pressure like a low money supply means multiple expansion of
deposit is low which means there's less money flowing through
the economy which results in less spending and slower economic
growth Yeah no likey Blood pressure that's too high like
a high money supply isn't good either though we've seen
it before in history where a government just starts printing
more and more money without the corresponding economic growth and
what happens well hyperinflation prices of everything skyrocket and money
becomes almost useless People lose trust in the system And
oh that's so not good for the economy So that
two dollar milk and now it's one hundred dollars a
carton a month later Six thousand Some places have faced
hyperinflation of like three thousand percent a year or more
Well the feds jobs to keep the economy's money supply
like blood pressure stable which means it needs to be
not too high not too low Well when the Fed
raises interest rates it essentially lowers the demand for loans
It lowers the amount of access reserve loaned out and
that whole process slows the growth of the money supply
from slower expansions of deposits When the Fed lowers interest
rates it's trying to increase demand for loans encouraging the
multiple expansion of deposits to grow the money supply well
Besides interest rates the Fed can tinker with things like
stimulus packages and other strategies to expand or contract the
money supply They do all kinds of things They're sort
of crazy All right so now you know money does
not grow on trees but well it does grow out
of your bank account So let's go deposits him though